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Finding the Third Proportional to 13,288,216 and 19,002,012

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Solution

The third proportional to 13,288,216 and 19,002,012 is: 27,172,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288,216 : 19,002,012 = 19,002,012 : x
  2. Step 2: Convert to fraction form
    13,288,216/19,002,012 = 19,002,012/x
  3. Step 3: Cross multiply
    13,288,216x = 19,002,012 × 19,002,012
  4. Step 4: Simplify right side
    13,288,216x = 361,076,460,048,144
  5. Step 5: Solve for x
    x = 361,076,460,048,144/13,288,216
  6. Step 6: Final answer
    x = 27,172,681.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.